Finding the Third Proportional to 10,099 and 21,602

Step by Step Solution

1. Step 1: Write the proportion equation
   10,099 : 21,602 = 21,602 : x
2. Step 2: Convert to fraction form
   10,099/21,602 = 21,602/x
3. Step 3: Cross multiply
   10,099x = 21,602 × 21,602
4. Step 4: Simplify right side
   10,099x = 466,646,404
5. Step 5: Solve for x
   x = 466,646,404/10,099
6. Step 6: Final answer
   x = 46,207.19